4.1 Flashcard on Understanding Equations and Solutions

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to substitute a value in an equation?

Back

Substituting a value means replacing a variable in an equation with a specific number to check if the equation holds true.

Front

How do you determine if a value is a solution to an equation?

Back

A value is a solution to an equation if, when substituted into the equation, it makes both sides equal.

Front

What is the solution to the equation a + 6 = 44 when a = 38?

Back

The solution is true because 38 + 6 = 44.

Front

What is the solution to the equation b - 9 = 32 when b = 41?

Back

The solution is true because 41 - 9 = 32.

Front

What is the solution to the equation 6 = 54 / c when c = 9?

Back

The solution is true because 6 = 54 / 9.

Front

What does it mean if there is 'no solution' for an equation?

Back

'No solution' means that there is no value for the variable that can satisfy the equation.

Front

What is the equation for Tubing if 10p = 30?

Back

To find p, divide both sides by 10: p = 30 / 10 = 3.

Front

What is the equation for Skiing if 5p + 20 = 30?

Back

To find p, subtract 20 from both sides: 5p = 10, then divide by 5: p = 2.

Front

What is the equation for Snowboarding if 33 - 3p = 30?

Back

To find p, subtract 33 from both sides: -3p = -3, then divide by -3: p = 1.